We report the experimental results of frequency-selective laser optical pumping and spin exchange of Cs with Xe-129 and Xe-131 in a high magnetic field of 11.74 T. Our results show that hyperpolarized Xe-129 and Xe-131 nuclear magnetic resonance (NMR) signals exhibit alternating phases when the laser frequency for pumping the cesium atoms is changed, which is explained on the basis of the high-field optical pumping of Cs. We obtain about 3% polarization of the Xe-129. The electron spin polarization of the Cs atoms has been measured to be about 22% with a simple NMR method.